Question 1035074
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Given function is 2(raise to the power of 1+2x) - 5(2x)= -2
The answer is -1, 1. Please explain and show to me how to get the answer. pls.
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1. (-1) is not the root.

2. 1 is the root.

3. There is one more positive root at x ~ 0.9.

4. It may be proved mathematically that there are only two roots, using convexity, for example.

5. The second root might be found approximately/numerically by applying some iteration process.

   Or graphically.

6. I do not see a way to find the second root analytically by means of school math.
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{{{graph( 330, 330, -1.5, 2.5, -0.5, 1.5,
          2^(1+2x) - 10x + 2
)}}}


<B>Figure</B>. Plot y = {{{2^(1+2x) - 10x + 2}}}.

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